Question
Solve for x:- 5(x − 2)/3 = 3(x + 4)/2
Solution
ATQ, 5(x − 2)/3 = 3(x + 4)/2 Multiply both sides by 6 (LCM of 3 and 2): 6 × [5(x − 2)/3] = 6 × [3(x + 4)/2] Left: 6 × 5(x − 2)/3 = 2 × 5(x − 2) = 10(x − 2) Right: 6 × 3(x + 4)/2 = 3 × 3(x + 4) = 9(x + 4) So, 10(x − 2) = 9(x + 4) 10x − 20 = 9x + 36 10x − 9x = 36 + 20 x = 56
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